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Finding the Third Proportional to 69,246 and 150,644

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Solution

The third proportional to 69,246 and 150,644 is: 327,724.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,246 : 150,644 = 150,644 : x
  2. Step 2: Convert to fraction form
    69,246/150,644 = 150,644/x
  3. Step 3: Cross multiply
    69,246x = 150,644 × 150,644
  4. Step 4: Simplify right side
    69,246x = 22,693,614,736
  5. Step 5: Solve for x
    x = 22,693,614,736/69,246
  6. Step 6: Final answer
    x = 327,724.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.